Application of MZI Symmetrical Structure With Fiber Balls and Seven-Core Fiber in Microdisplacement Measurement

Zhao, Liming; Li, Hong; Song, Yanming; Dong, Mingli; Zhu, Lianqing

doi:10.1007/s13320-018-0518-5

Cited by 12 publications

(4 citation statements)

References 17 publications

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“…The refractive index of the CLF is 1.458 at 630 nm and 1.444 at 1550 nm [18]. Consequently, a GB of w 0 = 2.15 µm expands in the CLF with a far-field divergence of θ 0 = 0.064 rad or 3.7 • , respectively, according to (13), while the divergence at 1550 nm is θ 0 = 0.066 rad or 3.8 • , respectively. In both fibers the divergence is nearly identical; the ray can be considered nearly paraxial.…”

Section: Matrix Formalism and Gb Opticsmentioning

confidence: 99%

“…The limiting length l 2 of a CLF, when obstruction occurs, is given if θ lim = θ 0 . Equating equation (13) with equation ( 14) yields the maximum value for l 2 :…”

Section: Matrix Formalism and Gb Opticsmentioning

confidence: 99%

“…This leads to the following equation when we substitute w i by equation (A10) and w 0 using equation (13):…”

Section: Data Availability Statementmentioning

confidence: 99%

“…SMFs are optimized for light propagating in the fundamental transversal mode close to its cut-off frequency, where the transversal beam profile is nearly Gaussian-like. The optimum computation of the light path in the FBLS could be based on a beam propagation method, which not only takes into consideration diffraction effects when light exits from the fiber to the ball lens section [13]. It also accounts for the interference with higher order symmetric transversal modes, which are excited when the light enters the much larger ball section [14].…”

Section: Introductionmentioning

confidence: 99%

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Design considerations and experimental investigations on fiber ball lens systems for optical metrology

et al. 2023

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Optical fibers play an important role in general, and in particular in the field of sensors. As part of a sensor system quite often fibers are coupled by a ball lens. For efficient usage, the fiber ball lens systems (FBLS) have to be optimized. The present work presents analytic expressions for design parameters of such systems. FBLS comprise sections of a single-mode optical fiber, a coreless fiber (CLF) and a ball lens. Their geometric dimensions have to be optimized for their use in different application in optical metrology. The derived expressions facilitate the optimum parameter choice which usually is done by expensive numerical simulations. For comparison and validation of the results by experiments, FBLS with different ball lens radii and CLF sections have been prepared by a fusion splicer technique. Their characteristics were investigated in the optical spectral ranges at 630nm and 1550nm. Experimental methods comprising far-field, near-field, reflection /transmission measurements with optical fibers validate the theoretical considerations. To our knowledge this is the first time that simple analytic approaches have been applied to the fabrication of FBLS. This facilitates and quickens their general design for different applications in optical metrology significantly.

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Section: Matrix Formalism and Gb Opticsmentioning

confidence: 99%

“…The limiting length l 2 of a CLF, when obstruction occurs, is given if θ lim = θ 0 . Equating equation (13) with equation ( 14) yields the maximum value for l 2 :…”

Section: Matrix Formalism and Gb Opticsmentioning

confidence: 99%

“…This leads to the following equation when we substitute w i by equation (A10) and w 0 using equation (13):…”

Section: Data Availability Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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